Question

设f(x)是可导函数,则函数y=f(e-x2)的导数是

Answer 1

f'(x)=f'(e^-(x^2))*(e^-(x^2))'=f'(e^-(x^2))*(e^-(x^2))*(-(x^2))'

=f'(e^-(x^2))*(e^-(x^2))*(-2x)

这个是复合函数的求导